A chemist prepares a solution of magnesium fluoride (MgF,) by measuring out 0.0152 µmol of magnesium fluoride into a 200. mL volumetric flask and filling the flask to the mark with water. Calculate the concentration in mol/L of the chemist's magnesium fluoride solution. Be sure your answer has the correct number of significant digits. mol olo ?

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**Problem Statement:**

A chemist prepares a solution of magnesium fluoride (MgF₂) by measuring out 0.0152 μmol of magnesium fluoride into a 200. mL volumetric flask and filling the flask to the mark with water. 

Calculate the concentration in mol/L of the chemist's magnesium fluoride solution. Be sure your answer has the correct number of significant digits.

**Solution Explanation:**

1. **Convert Micromoles to Moles:**
   \[
   0.0152 \, \mu\text{mol} \times 10^{-6} = 0.0152 \times 10^{-6} \, \text{mol} = 1.52 \times 10^{-8} \, \text{mol}
   \]

2. **Convert Milliliters to Liters:**
   \[
   200. \, \text{mL} = 200. \times 10^{-3} \, \text{L} = 0.200 \, \text{L}
   \]

3. **Calculate the Molar Concentration:**
   \[
   \text{Concentration} (C) = \frac{\text{Amount of Substance (mol)}}{\text{Volume of Solution (L)}} = \frac{1.52 \times 10^{-8} \, \text{mol}}{0.200 \, \text{L}} = 7.6 \times 10^{-8} \, \text{mol/L}
   \]

**Final Answer:**

The concentration of the magnesium fluoride solution is \(7.6 \times 10^{-8} \, \text{mol/L}\).

**Diagram Explanation:**

The diagram or image provided represents a textbox for inputting the calculated concentration value in mol/L.

- The textbox is labeled with "mol/L" indicating the units for the concentration.
- There are additional options for formatting numbers with scientific notation (indicated by the "×10" button), clearing input (the "X" button), and seeking help or guidance (the "?" button).
Transcribed Image Text:**Problem Statement:** A chemist prepares a solution of magnesium fluoride (MgF₂) by measuring out 0.0152 μmol of magnesium fluoride into a 200. mL volumetric flask and filling the flask to the mark with water. Calculate the concentration in mol/L of the chemist's magnesium fluoride solution. Be sure your answer has the correct number of significant digits. **Solution Explanation:** 1. **Convert Micromoles to Moles:** \[ 0.0152 \, \mu\text{mol} \times 10^{-6} = 0.0152 \times 10^{-6} \, \text{mol} = 1.52 \times 10^{-8} \, \text{mol} \] 2. **Convert Milliliters to Liters:** \[ 200. \, \text{mL} = 200. \times 10^{-3} \, \text{L} = 0.200 \, \text{L} \] 3. **Calculate the Molar Concentration:** \[ \text{Concentration} (C) = \frac{\text{Amount of Substance (mol)}}{\text{Volume of Solution (L)}} = \frac{1.52 \times 10^{-8} \, \text{mol}}{0.200 \, \text{L}} = 7.6 \times 10^{-8} \, \text{mol/L} \] **Final Answer:** The concentration of the magnesium fluoride solution is \(7.6 \times 10^{-8} \, \text{mol/L}\). **Diagram Explanation:** The diagram or image provided represents a textbox for inputting the calculated concentration value in mol/L. - The textbox is labeled with "mol/L" indicating the units for the concentration. - There are additional options for formatting numbers with scientific notation (indicated by the "×10" button), clearing input (the "X" button), and seeking help or guidance (the "?" button).
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